NEWTONIAN MOTION AS ORIGIN OF ANISOTROPY OF THE LOCAL VELOCITY FIELD OF GALAXIES

The origins of recently reported anisotropy of the local velocityeld of nearby galaxies (velocities less than 500 km/s corresponding to the distance less than 8 Mpc) are studied. The exact solution of the Newtonian equation for the expanding Universe is obtained. This solution allows us to separate the Newtonian motion of nearby galaxies from the Hubble Aow by the transition to the conformal coordinates. The relation between the Hubble Aow and the Newtonian motion is established. We show that the anisotropic local velocityeld of nearby galaxies can be formed by such a Newtonian motion in the expanding Universe, if at the moment of the capture of galaxies by the central gravitationaleld their conformal energy is equal to zero. ˆ§EI ¥E¸O ¶·¨I¨´ ´¥¤ ¢´µ µE±·OEµ° ´¨§µE·µ¶¨¨ ²µ± ²O´µ£µ ¶µ²O ¸±µ·µ¸E¥° ³¥¸E´OI £ - ² ±E¨± (¸±µ·µ¸E¨ ³¥´¥¥ 500 ±³/¸, IEµ ¸µµE¢¥E¸E¢E¥E · ¸¸EµO´¨O ³¥´¥¥ 8 Œ¶±). Y °¤¥´µ EµI´µ¥ ·¥I¥´¨¥ ´OOEµ´µ¢¸±¨I E· ¢´¥´¨° ¸ EI¥Eµ³ · ¸I¨·¥´¨O ‚¸¥²¥´´µ°. ' ±µ¥ ·¥I¥´¨¥ ¶µ§¢µ²O¥E µE¤¥²¨EO ´OOEµ´µ¢¸±µ¥ ¤¢¨|¥´¨¥ ³¥¸E´OI £ ² ±E¨± µE I ii²µ¢¸±µ£µ ¶µEµ± ¸ ¶µ³µÐOO ¶¥·¥- Iµ¤ ± ±µ´Eµ·³´O³ ±µµ·¤¨´ E ³. '¥³ ¸ ³O³, E¸E ´ ¢²¨¢ ¥E¸O ¸µµE´µI¥´¨¥ ³¥|¤E ´OOEµ´µ¢¸±¨³ ¤¢¨|¥´¨¥³ ¨ ²µ± ²O´O³ ¶µ²¥³ ¸±µ·µ¸E¥° £ ² ±E¨±. �µ± § ´µ, IEµ ´¨§µE·µ¶¨O ²µ± ²O´µ£µ ¶µ²O ¸±µ·µ¸E¥° ³¥¸E´OI £ ² ±E¨± ³µ|¥E iOEO ¶µ²EI¥´ i² £µ¤ ·O E ±µ³E ´OOEµ´µ¢¸±µ³E ¤¢¨|¥´¨O ¢ · ¸I¨·OOÐ¥°¸O ‚¸¥²¥´´µ°, ¥¸²¨ ¢ ³µ³¥´E § I¢ E £ ² ±E¨± I¥´E· ²O´O³ £· ¢¨E I¨µ´´O³ ¶µ²¥³ ¨I ±µ´Eµ·³´ O O´¥·£¨O · ¢´ ´E²O. Recent observation of the local velocityeld of galaxies gives a three-dimensional ellipsoid with different values of the Hubble parameter, clearly showing its anisotropic character (3,4). In this paper, we present a possible point of view that this local velocityeld of galaxies can be explained by their Newtonian motions. The analysis of the observational data will be based on the radial velocities of nearby galaxies, belonging to the Local Group. Our paper is organized in the following manner. In Sec. 1, the cosmic evolution is described. In Sec. 2, we introduce the Newtonian motion and separate this motion from the cosmic one. In Sec. 3, the initial data of the galaxies capture by a central gravitationaleld is considered. In Sec. 4, the simplest example is given to elucidate our results. The paper ends with the conclusion.